Solve 2x-5+1/4x-2/3+1

$$2 x - 5 + \frac { 1 } { 4 } x - \frac { 2 } { 3 } + 1$$

Evaluate

$$\frac{9x}{4}-\frac{14}{3}$$

Solution Steps

Combine 2x and \frac{1}{4}x to get \frac{9}{4}x.

$$\frac{9}{4}x-5-\frac{2}{3}+1$$

Convert -5 to fraction -\frac{15}{3}.

$$\frac{9}{4}x-\frac{15}{3}-\frac{2}{3}+1$$

Since -\frac{15}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9}{4}x+\frac{-15-2}{3}+1$$

Subtract 2 from -15 to get -17.

$$\frac{9}{4}x-\frac{17}{3}+1$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{9}{4}x-\frac{17}{3}+\frac{3}{3}$$

Since -\frac{17}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.

$$\frac{9}{4}x+\frac{-17+3}{3}$$

Add -17 and 3 to get -14.

$$\frac{9}{4}x-\frac{14}{3}$$

Factor

$$\frac{27x-56}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{27x-56}{12}$$

Consider 24x-60+3x-8+12. Multiply and combine like terms.

$$27x-56$$

Rewrite the complete factored expression.

$$\frac{27x-56}{12}$$